Bell, Jason and Launois, Stephane
(2010)
*
On the dimension of H-strata in quantum matrices.
*
Algebra and Number Theory,
4
(2).
pp. 175-200.
(doi:10.2140/ant.2010.4.175)
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Official URL http://dx.doi.org/10.2140/ant.2010.4.175 |

## Abstract

We study the topology of the prime spectrum of an algebra supporting a rational torus action. More precisely, we study inclusions between prime ideals that are torus-invariant using the H-stratification theory of Goodearl and Letzter on the one hand, and the theory of deleting derivations of Cauchon on the other. We also give a formula for the dimensions of the H-strata described by Goodearl and Letzter. We apply the results obtained to the algebra of m × n generic quantum matrices to show that the dimensions of the H-strata are bounded above by the minimum of m and n, and that all values between 0 and this bound are achieved.

Item Type: | Article |
---|---|

Subjects: | Q Science > QA Mathematics (inc Computing science) > QA150 Algebra Q Science > QA Mathematics (inc Computing science) > QA165 Combinatorics |

Divisions: | Faculties > Science Technology and Medical Studies > School of Mathematics Statistics and Actuarial Science |

Depositing User: | Stephane Launois |

Date Deposited: | 29 Jun 2011 13:18 |

Last Modified: | 26 Jun 2014 13:11 |

Resource URI: | https://kar.kent.ac.uk/id/eprint/23601 (The current URI for this page, for reference purposes) |

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